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545142125520 = 243253720463293
BaseRepresentation
bin1111110111011010000…
…00001011001111010000
31221010002220002021212100
413323231000023033100
532412422341004040
61054233531400400
754246062416626
oct7735500131720
91833086067770
10545142125520
111a0214577553
128979abb3100
133c539631855
141c5566cb516
15e2a8c97b30
hex7eed00b3d0

545142125520 has 120 divisors (see below), whose sum is σ = 1880249305896. Its totient is φ = 141442274304.

The previous prime is 545142125519. The next prime is 545142125551. The reversal of 545142125520 is 25521241545.

545142125520 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 4 + 2 + 125 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175604578704 + 369537546816 = 419052^2 + 607896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10205007 + ... + 10258286.

Almost surely, 2545142125520 is an apocalyptic number.

It is an amenable number.

545142125520 is an abundant number, since it is smaller than the sum of its proper divisors (1335107180376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545142125520 is a wasteful number, since it uses less digits than its factorization.

545142125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20463349 (or 20463340 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 545142125520 in words is "five hundred forty-five billion, one hundred forty-two million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 20463293 40926586 61389879 81853172 102316465 122779758 163706344 184169637 204632930 245559516 306949395 327412688 368339274 409265860 491119032 613898790 736678548 757141841 818531720 920848185 982238064 1227797580 1473357096 1514283682 1637063440 1841696370 2271425523 2455595160 2946714192 3028567364 3683392740 3785709205 4542851046 4911190320 6057134728 6814276569 7366785480 7571418410 9085702092 11357127615 12114269456 13628553138 14733570960 15142836820 18171404184 22714255230 27257106276 30285673640 34071382845 36342808368 45428510460 54514212552 60571347280 68142765690 90857020920 109028425104 136285531380 181714041840 272571062760 545142125520